package com.duoduo.动态规划;

/**
 * @author dl.chai
 * @version 1.0
 * @description: 最小路径和64
 * @date 2023/3/12 16:14
 */

public class 最小路径和64 {
    public int minPathSum(int[][] grid) {
        int m=grid.length,n=grid[0].length;
        int[][] dp=new int[m][n];
        dp[0][0]=grid[0][0];
        // 对于最左和最上填充数据
        for(int i=1;i<m;i++){
            dp[i][0]=dp[i-1][0]+grid[i][0];
        }
        for(int i=1;i<n;i++){
            dp[0][i]=dp[0][i-1]+grid[0][i];
        }
        for(int i=1;i<m;i++){
            for(int j=1;j<n;j++){
                dp[i][j]=grid[i][j]+Math.min(dp[i-1][j],dp[i][j-1]);
            }
        }
        return dp[m-1][n-1];
    }
    public int minPathSum2(int[][] grid) {
        for(int i = 0; i < grid.length; i++) {
            for(int j = 0; j < grid[0].length; j++) {
                if(i == 0 && j == 0) continue;
                else if(i == 0)  grid[i][j] = grid[i][j - 1] + grid[i][j];
                else if(j == 0)  grid[i][j] = grid[i - 1][j] + grid[i][j];
                else grid[i][j] = Math.min(grid[i - 1][j], grid[i][j - 1]) + grid[i][j];
            }
        }
        return grid[grid.length - 1][grid[0].length - 1];
    }

}
